Geodesic
Classification of $Aff(2,\mathbb R)$-orbit's dimensions for quadratic differential system
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2008), pp. 122-126.

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Affine invariant conditions for $Aff(2,\mathbb R)$-orbit's dimensions are defined for two-dimensional autonomous quadratic differential system. 
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N. Gherstega; V. Orlov. Classification of $Aff(2,\mathbb R)$-orbit's dimensions for quadratic differential system. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2008), pp. 122-126. http://geodesic.mathdoc.fr/item/BASM_2008_2_a13/

[1] Popa M.N., “Algebraic methods for differential systems”, Editura the Flower Power, Universitatea din Piteşti, Seria Matematică Aplicată şi Industrială, 15 (2004) (in Romanian) | MR

[2] Sibirsky K.S., Introduction to algebraic theory of invariants of differential equations, Stiinta, Chisinau, 1982 (in Russian, published in English in 1988) | MR

[3] Olver P.J., Classical Invariant Theory, London Mathematical Society student texts, 44, Cambridge University Press, 1999 | MR

[4] Boularas D., Calin Iu., Timochouk L., Vulpe N., T-comitants of quadratic systems: a study via the translation invariants, Report 96-90, Delft 1996, Delft University of Technology

[5] Schlomiuk D., Vulpe N., “Geometry of quadratic differential systems in the neighborhood of infinity”, J. Differential Equations, 215 (2005), 357–400 | DOI | MR | Zbl

[6] Boularas D., “Computation of affine covariants of quadratic bivariate differential systems”, J. Complexity, 16:4 (2000), 691–715 | DOI | MR | Zbl